Least Common Multiple of 3771 and 3776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3771 and 3776 the smallest integer that is 14239296 that is divisible by both numbers.

Least Common Multiple (LCM) of 3771 and 3776 is 14239296.

LCM(3771,3776) = 14239296

LCM of 3771 and 3776

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3771 and 3776

LCM of 3771 and 3776 is 14239296

Least common multiple can be found by multiplying the highest exponent prime factors of 3771 and 3776. First we will calculate the prime factors of 3771 and 3776.

Prime Factorization of 3771


3 3771
3 1257
419 419
1

Prime factors of 3771 are 3,419. Prime factorization of 3771 in exponential form is:

3771 = 32×4191

Prime Factorization of 3776


2 3776
2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 3776 are 2,59. Prime factorization of 3776 in exponential form is:

3776 = 26×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3771 and 3776.

LCM(3771,3776) = 26×32×591×4191
LCM(3771,3776) = 14239296

Factors of 3771

List of positive integer factors of 3771 that divides 3771 without a remainder.

1, 3, 9, 419, 1257, 3771

Factors of 3776

List of positive integer factors of 3776 that divides 3776 without a remainder.

1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776

Least Common Multiple of 3771 and 3776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3771 and 3776, than apply into the LCM equation.

GCF(3771,3776) = 1
LCM(3771,3776) = ( 3771 × 3776) / 1
LCM(3771,3776) = 14239296 / 1
LCM(3771,3776) = 14239296

Properties of LCM 3771 and 3776

(i) The LCM of 3776 and 3771 is associative

LCM of 3771 and 3776 = LCM of 3776 and 3771

Related Least Common Multiples of 3771

Related Least Common Multiples of 3776

Frequently Asked Questions on LCM of 3771 and 3776

1. What is the LCM of 3771 and 3776?

Answer: LCM of 3771 and 3776 is 14239296.

2. What are the Factors of 3771?

Answer: Factors of 3771 are 1, 3, 9, 419, 1257, 3771. There are 6 integers that are factors of 3771. The greatest factor of 3771 is 3771.

3. What are the Factors of 3776?

Answer: Factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776. There are 14 integers that are factors of 3776. The greatest factor of 3776 is 3776.

4. How to Find the LCM of 3771 and 3776?

Answer:

Least Common Multiple of 3771 and 3776 = 14239296

Step 1: Find the prime factorization of 3771

3771 = 3 x 3 x 419

Step 2: Find the prime factorization of 3776

3776 = 2 x 2 x 2 x 2 x 2 x 2 x 59

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 14239296 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 59 x 419

Step 4: Therefore, the least common multiple of 3771 and 3776 is 14239296.